Looks to be first impressions, but no dust-jackets and they may not be first impressions as you can't really tell from what is described by the auction house.

"Estimate: £400 - £600

Description: 1st Editions J R R Tolkien The Lord of the Rings Complete Set, The Fellowship of the Ring 1954, The Two Towers 1954 and Return of the King 1955. All published by George Allen & Unwin Limited. Hardcovers with red boards. (3 items)"